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Simplifying 4(w + -1) + 4u = 3(u + -1) + 7 Reorder the terms: 4(-1 + w) + 4u = 3(u + -1) + 7 (-1 * 4 + w * 4) + 4u = 3(u + -1) + 7 (-4 + 4w) + 4u = 3(u + -1) + 7 Reorder the terms: -4 + 4u + 4w = 3(u + -1) + 7 Reorder the terms: -4 + 4u + 4w = 3(-1 + u) + 7 -4 + 4u + 4w = (-1 * 3 + u * 3) + 7 -4 + 4u + 4w = (-3 + 3u) + 7 Reorder the terms: -4 + 4u + 4w = -3 + 7 + 3u Combine like terms: -3 + 7 = 4 -4 + 4u + 4w = 4 + 3u Solving -4 + 4u + 4w = 4 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -4 + 4u + -3u + 4w = 4 + 3u + -3u Combine like terms: 4u + -3u = 1u -4 + 1u + 4w = 4 + 3u + -3u Combine like terms: 3u + -3u = 0 -4 + 1u + 4w = 4 + 0 -4 + 1u + 4w = 4 Add '4' to each side of the equation. -4 + 1u + 4 + 4w = 4 + 4 Reorder the terms: -4 + 4 + 1u + 4w = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 1u + 4w = 4 + 4 1u + 4w = 4 + 4 Combine like terms: 4 + 4 = 8 1u + 4w = 8 Add '-4w' to each side of the equation. 1u + 4w + -4w = 8 + -4w Combine like terms: 4w + -4w = 0 1u + 0 = 8 + -4w 1u = 8 + -4w Divide each side by '1'. u = 8 + -4w Simplifying u = 8 + -4w
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